An Interesting question.
I do not know the answer but I offer the following observations:
1) If the AP BVI1 interface is set to receive a DHCP assigned address it gets the address from the native vlan.
2) If a WiFi client requests a DHCP address the request is brokered with the BVI1 interface address onto the native vlan. I think the DHCP offer would fail because the acceptance and ack are sent unicast and would not reach the correct destination which could result in duplicate IP's being issued.
3) Traffic to the BVI1 interface would be routed to the vlan that handled the IP range assigned to the BVI1 interface.